Details

sample374.0ms

Algorithm

intervals

Results

266.0ms	163×	body	1280	valid
61.0ms	61×	body	640	valid
8.0ms	11×	body	320	valid
3.0ms	17×	body	80	valid
2.0ms	4×	body	160	valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	177	65
4	303	65
5	522	65
6	1279	65
7	4457	65
done	5000	65

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize39.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- phi1 phi2) 2.0))
3.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series232.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- phi1 phi2) 2.0))
45.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify6.6s

Counts

44 → 44

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune922.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.5b

localize69.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- phi1 phi2) 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series211.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify6.8s

Counts

44 → 44

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	60	452
1	103	452
2	170	396
3	308	396
4	577	396
5	1423	396
6	4703	396
done	5000	396

prune833.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 15.1b

localize96.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series211.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify5.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune616.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
2.9b	(sin (/ (- lambda1 lambda2) 2.0))
7.1b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series207.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.0s

Counts

57 → 57

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	543	530
4	2187	530
done	5000	521

prune504.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.0b

regimes2.4s

Accuracy

0% (0.6b remaining)

Error of 14.4b against oracle of 13.7b and baseline of 14.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	94
1	47	94
done	47	94

end0.0ms

sample10.2s

Algorithm

intervals

Results

7.3s	4706×	body	1280	valid
1.8s	1972×	body	640	valid
341.0ms	516×	body	320	valid
104.0ms	584×	body	80	valid
101.0ms	225×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan